Results 71 to 80 of about 1,226 (146)
Discovery, invention, and development: human creative thinking. [PDF]
Proc Natl Acad Sci U S A, 1983 Simon HA.
europepmc +1 more source
The Insolubility of Sets of Diophantine Equations in the Rational Numbers. [PDF]
Proc Natl Acad Sci U S A, 1952 Ankeny NC.
europepmc +1 more source
Humanistic Mathematics: Personal Evaluation and Excavations [PDF]
, 2004 Brown, Stephen I.
core +3 more sources
MODELS OF THE FUNDAMENTAL THEOREM OF ARITHMETIC. [PDF]
Proc Natl Acad Sci U S A, 1963 Mullin AA.
europepmc +1 more source
A Proof of "Goldbach's Conjecture"
, 2000 "Goldbach's Conjecture" proven by analysis of how all combinations of the odd primes, summed in pairs, generates all of the even numbers.
openaire +2 more sources
Discovery on Goldbach conjecture
, 2019 Goldbach's famous conjecture has always fascinated eminent mathematicians. In this paper we give a rigorous proof basedon a new formulation, namely, that every even integer has a primo-raduis. Our proof is mainly based on the application ofChebotarev-Artin's theorem, Mertens' formula and the Principle exclusion-inclusion of Moivre.
openaire +3 more sources
Goldbach's Conjecture — A Route to the Inconsistency of Arithmetic
, 2014 Ralf Wüsthofen
+4 more sources
, 2017 We answer the question positively. In fact, we believe to have proved that every even integer $2N\geq3\times10^{6}$ is the sum of two odd distinct primes. Numerical calculations extend this result for $2N$ in the range $8-3\times10^{6}$. So, a fortiori, it is shown that every even integer $2N>2$ is the sum of two primes (Goldbach conjecture).
openaire +2 more sources
This paper presents a proof of Goldbach's Conjecture by modeling the problem as a connectivity theorem in an additive graph constructed from the prime number set. Using a contradiction-based strategy and leveraging modern prime gap bounds, we demonstrate that every even integer must be the sum of two primes.
openaire +2 more sources